B\"acklund transforms of the extreme Kerr near-horizon geometry
General Relativity and Quantum Cosmology
2020-05-21 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We apply the method of B\"acklund transformations to generate a new hierarchy of exact solutions to the vacuum Einstein equations starting from the extreme Kerr near-horizon geometry. Solutions with extreme Kerr near-horizon asymptotics containing an arbitrary number of free parameters are included.
Keywords
Cite
@article{arxiv.1909.06104,
title = {B\"acklund transforms of the extreme Kerr near-horizon geometry},
author = {Reinhard Meinel and Andreas Kleinwächter},
journal= {arXiv preprint arXiv:1909.06104},
year = {2020}
}
Comments
7 pages, v3: final version, to appear in Phys. Lett. A